The Quad is a manipulable quadrilateral hand-held object that is linked in real time to its digital screen-based simulation, whose own transformation, in turn, activates content-oriented voice description and output sonification.
Goals: Learners will construct icosahedra of varying scales and of various materials. They will then use these various models to think through questions about the geometric properties of icosahedra (number of edges and vertices, cross-sectional shapes, etc.). Learners…
Overview The Eye Trick is an activity for grounding the concept of proportion in perceptual judgments of geometrical similitude. The “trick” is that students judge similarity by creating an optical illusion of identity. Later, they use a stretchy…
The 3D multiplication table is a three-dimensional embodiment of the one hundred products in the familiar 10-by-10 multiplication chart. The result is an intriguing object-to-think-with that supports mathematical inquiry by making salient logical and quantitative properties that are…
The Mathematics Imagery Trainer (MIT) is an interactive technological system designed to create opportunities for students to develop new sensorimotor schemes from which emerge mathematical concepts. In particular, the MIT for proportion (MIT-P) is geared to support the construction of…
Dice Stalagmite is an interactive computer-based model. The model is part of the ProLab curriculum designed by Dor Abrahamson initially at Uri Wilensky’s Center for Connected Learning and Computer-Based Modeling (CCL) at Northwestern University and later at UC Berkeley. The…
Histo-Blocks is an interactive computer-based model. The model is a part of the ProLab curriculum designed by Dor Abrahamson initially at Uri Wilensky’s Center for Connected Learning and Computer-Based Modeling (CCL) at Northwestern University and later at UC Berkeley. The…
The 4-Blocks NetLogo model, too, is an interactive computer-based embodiment of the 4-Block mathematical object, simulating an empirical probability experiment in which the randomness generator is a compound of 4 squares that each can independently be either green or blue. The…
Sample Stalagmite is an interactive computer-based model. The model is a part of the ProLab curriculum designed by Dor Abrahamson initially at Uri Wilensky’s Center for Connected Learning and Computer-Based Modeling (CCL) at Northwestern University and later at UC Berkeley. The…
The combinations tower, a theoretical-probability artifact, is the distributed binomial sample space of a stochastic device from the X-Block family, such as a 4-Block, a 2-by-2 grid in which each square can be either of two colors. The 16 unique…
The marble scooper is a device for sampling a fixed number of marbles out of a vessel containing many marbles, such as a box with equal numbers of green and blue marbles. We have built scoopers that sample exact numbers…